The easiest way is through prime factorization.
Example: 1/30 and 1/42
The lowest common denominator in this case is the LCM of 30 and 42.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
2 x 3 x 5 x 7 = 210, the LCM and the lowest common denominator.
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The lowest common denominator is 30
An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.
The lowest common denominator is 10
The lowest common denominator of any set of whole numbers is 1
The lowest common denominator of 4/25 and 3/50 is 50.